Factor the four-term polynomial by grouping.
-$10 x ^ { 2 } + 12 x y + 15 x y + 18 y ^ { 2 }$
A)(10x + 3y)(x + 6y)
B)(2x + 3)(5x + 6)
C)(2x + 3y)(5x + 6y)
D)(2x - 3y)(5x + 6y)

Question

Quizplus · Accepted Answer

To factor the given polynomial by grouping, we first group the terms: $10x^2 + 12xy$ and $15xy + 18y^2$. Factoring out the common factors in each group gives us $2x(5x + 6y) + 3y(5x + 6y)$. We can then factor out the common binomial factor, resulting in $(2x + 3y)(5x + 6y)$.

Factor the Four-Term Polynomial by Grouping 10x2+12xy+15xy+18y210 x ^ { 2 } + 12 x y + 15 x y + 18 y ^ { 2 }10x2+12xy+15xy+18y2

Factor the Four-Term Polynomial by Grouping $10 x ^ { 2 } + 12 x y + 15 x y + 18 y ^ { 2 }$